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Adaptive synchronization with noisy parameter II(A): Noise generated by a Van der Pol oscillator with µ = 0.01
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In this paper, we study adaptive synchronization of chaotic systems where the system parameters cannot be determined accurately. In particular, we focus on the cases of uncertain parameters (i.e. parameters are constant but unknown) and noisy parameters (i.e. parameter values keep fluctuating because of noise). We introduce two different adaptive s...
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... q µ (t) is the solution at time t for Van der Pol equation with parameter µ as given by (21). Here λ is the parameter determining the magnitude of the noise and π/4 is Figure 8 shows that the two chaotic systems X and Y synchronize asymptotically. This is particularly interesting since this happens in spite of the parameters being affected by noise generated by another complicated system like a Van der Pol oscillator. ...
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